Question

Match figures 1-5 with the congruence criteriayou would use to prove them congruent on the right. I will send you the rest of the figures.

Answer 1

• 1. SSS

,

• 2. ASA

,

• 3. SAS

,

• 4. HL

,

• 5. No enough information

Step-by-step explanation:

Figure 1

In figure 1, the two corresponding sides are equal and the third part is a shared side.

The two triangles In Figure 1 are congruent by the SSS Postulate.

Figure 2

The two triangles in Figure 2 are congruent by the ASA Postulate.

Figure 3

In figure 3, two sides and the included angle in between the sides are congruent in the two triangles.

They are congruent by the SAS Postulate.

Figure 4

• In figure 4, one leg in both triangles is congruent.

,

• The hypotenuse is a shared side.

By the HL Postulate, if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Thus, the two triangles are congruent by the HL Postulate.

Figure 5

In Figure 5, the three angles are congruent. However, this only shows that the angles are similar.

There is not enough information to prove congruence,